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3 years ago

Someone please solve all equations

Mathematics

1 answer:

Tamiku [17]3 years ago

3 0

17. (a) The formula with CP subject is $CP=\frac{SP}{1.1}$

(b) The Cost Price of item without GST is $59.50

(c) The GST of item is $5.95

Step-by-step explanation:

Given formula is;

SP = 1.1 * CP

SP = Selling price

CP = Cost price

(a) Rearrange the formula to make CP the subject;

SP = 1.1 * CP

Dividing both sides by 1.1

$\frac{SP}{1.1}=\frac{1.1*CP}{1.1}\\\\\frac{SP}{1.1}=CP\\\\CP=\frac{SP}{1.1}$

The formula with CP subject is $CP=\frac{SP}{1.1}$

(b) Use your formula from (a) to find the Cost Price of an item without GST if the selling price is $65.45

SP = $65.45

$CP=\frac{65.45}{1.1}\\\\CP=\$59.50$

The Cost Price of item without GST is $59.50

(c) Calculate the amount of GST on an item whose selling price is $65.45.

GST = 10% of CP

GST = $\frac{10}{100}*CP$

GST = 0.1CP

From part (b)

CP = $59.50

GST = 0.1 * 59.50

GST = $5.95

The GST of item is $5.95

Keywords: percentage, multiplication

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